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3 years ago

One of the team is from Greece and wants to change his wages from Pounds Sterling to Euros. The exchange rate is €1 = £0.72.

Mathematics

2 answers:

solmaris [256]3 years ago

7 0

Answer:

187.5 euros

Step-by-step explanation:

1 euro = 0.72 pounds

? euro = 135 pound

135/0.72 (divide) = 187.5

DedPeter [7]3 years ago

3 0

Part A:

To determine the amount of money in Euros that the team will get, we use the original amount given, the proper dimensional analysis and the conversion factor. For this item,
(£135) x (€1 / £0.72) = €187.5

ANSWER: €187.5

Part B:

Convert first the given length of the arena's stage in centimeters by using the conversion factor, 1 m = 100 cm

(8 meters) x (100 cm/1 m) = 800 cm

Since, both sides will be occupied by 130-cm speaker,

remaining length = 800 - 2(130 cm)
remaining length = 540 cm

ANSWER: 540 cm or 5.4 m
 

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vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

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x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

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$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

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$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

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Alternative forms:
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